In a small bowl, combine ginger, garlic, and lemon zest; set aside. Rinse shrimp and pat dry with paper towels; sprinkle with salt. Place flour in a large, sealable plastic bag; add shrimp and toss until well coated.

In a large sauté pan, heat olive oil over high heat. Add shrimp and cook until golden brown, about 5 minutes, flipping once about halfway through cooking. Add ginger mixture; cook 30 seconds. Slowly pour in beer; gently shake pan. Cook until reduced by half, about 2 minutes. Turn off heat; add butter, swirling pan until butter has melted and thickened the sauce. Serve immediately.

Note:The fresh ginger should be peeled unless otherwise noted. To grate fresh ginger, use a microplane grater or a triangular ginger grater, which will catch unwanted ginger fibers in its teeth, leaving behind a juicy, concentrated pulp.